Resonant Light Echo Shells: A Physical Model for Supernova Morphology, Fractal Scattering, and Field-Driven Symmetry in SN 1987A

This project present a comprehensive physical model for light echo formation from supernovae, focusing on the structured emission of concentric spherical shells that interact with stratified interstellar dust. Through detailed analysis of 37 high-resolution Hubble Space Telescope observations of SN 1987A spanning 15 years (1994-2009), we demonstrate that observed echo ring timing and brightness decay can be reproduced through energy diffusion from a coherent light front propagating at the speed of light and interacting with variably dense dust layers. Our systematic detection of multiple concentric echo rings with radii ranging from 82-493 AU provides the first observational evidence for resonant field propagation structures, characterized by ring radius ratios clustering around 1.96 ± 0.20. We expand this interpretation through the lens of resonant field propagation, exploring their compatibility with tensor field geometries and fractal collapse signatures. Fractal dimension analysis reveals systematic structural complexity with Hausdorff dimensions of 1.8-2.2, indicating non-trivial geometric organization in the echo morphology. These findings establish SN 1987A as a unique laboratory for probing the intersection of supernova physics, interstellar medium dynamics, and potentially exotic field structures encoded in stellar collapse events. This OSF project includes the full dataset, analytical methods, and figures associated with the journal submission titled: “Resonant Light Echo Shells: A Physical Model for Supernova Morphology, Fractal Scattering, and Field-Driven Symmetry in SN 1987A”.